Problema Solution
Suppose a candy store has 40 pounds of candy that sells for $1.40 a pound but has not been selling well lately. The owner believes that the price might be too high, but he does not want to lose profit. How much candy selling for $1 a pound should be mixed with the 40 pounds of $1.40 a pound of candy to make a mixture that will sell for $1.25 a pound?
Answer provided by our tutors
let
x = pounds of the $1 candy
the cost of x pounds for $1 per pound candy + the cost of 40 pounds of the $1.40 per pound = the total cost for (40 + x) pounds selling for $1.25 per pound
1*x + 1.40*40 = 1.25*(x + 40)
by solving we find
x = 24 pounds.
we need to add 24 pounds of the $1 a pound to make the mixture.